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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2006; 43(3): 563-578

Printed May 1, 2006

Copyright © The Korean Mathematical Society.

On some integral inequalities with iterated integrals

Yeol Je Cho, Sever S. Dragomir, and Young-Ho Kim

Gyeongsang National University, Victoria University of Technology, Changwon National University

Abstract

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The main aim of the present paper is to establish some new Gronwall type inequalities involving iterated integrals and give some applications of the main results.

Keywords: Gronwall-Bellman inequalities,integral inequality, iterated integrals, nondecreasing function

MSC numbers: 26D15, 35A05

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